Perfect Key Logger on Macbook pro?

Question

Hi,
I have reason to believe my boyfriend has downloaded a key logger onto my computer.  I started  noticing weird programs being downloaded that had to do with unarchiving files and unencrypting text and I looked into it and found an icon that said "PKL.app".  So I googled it and perfect key logger came up.  I tried to download it myself and when I did, it would download and never open.  I know they are supposed to open the first time but then otherwise run in the background and only open with hot keys.  I have tried a couple of variations with no luck.  When I click the PKL.app icon (I saved it to my desktop after I found it) and press "open" nothing happens.  If I press "get info" it says the date it was downloaded, last time it was opened ect.  Also, within the "get info" area on the app icon there is a option to click that says "hide extensions" which is clicked and I am unable to unclick it.  He has open access to my computer and I haven't had any credit card theft or anything like that which leads me to believe it is someone that doesn't have a desire to do anything other than on my personal level.  Can someone take a look at what the terminal showed and give me any insight?  If nothing shows up does anyone know what this PKL app that I can't open is?  Also I tried removing the app and it wouldn't let me.  Here are my terminal results:
Last login: Thu Feb 12 20:41:34 on ttys000
(name deleted for privacy)-MacBook-Pro-2:~ (name deleted for privacy)$ kextstat -kl | awk '!/com\.apple/{printf "%s %s\n", $6, $7}'
com.zeobit.kext.Firewall (2.3.4)
(name deleted for privacy)-MacBook-Pro-2:~ (name deleted for privacy)$ sudo launchctl list | sed 1d | awk '!/0x|com\.(apple|openssh|vix)|edu\.mit|org\.(amavis|apache|cups|isc|ntp|postfi x|x)/{print $3}' 
com.zeobit.MacKeeper.AntiVirus
com.microsoft.office.licensing.helper
com.adobe.fpsaud
(name deleted for privacy)-MacBook-Pro-2:~ (name deleted for privacy)$ launchctl list | sed 1d | awk '!/0x|com\.apple|edu\.mit|org\.(x|openbsd)/{print $3}' 
com.zeobit.MacKeeper.Helper
com.spotify.webhelper
com.google.keystone.user.agent
com.BT.PKL
com.adobe.ARM.202f4087f2bbde52e3ac2df389f53a4f123223c9cc56a8fd83a6f7ae
(name deleted for privacy)-MacBook-Pro-2:~ (name deleted for privacy)$ ls -1A /e*/mach* {,/}L*/{Ad,Compon,Ex,Fram,In,Keyb,La,Mail/Bu,P*P,Priv,Qu,Scripti,Servi,Spo,Sta} * L*/Fonts 2> /dev/null 
/Library/Components:
/Library/Extensions:
hp_io_enabler_compound.kext
/Library/Frameworks:
AEProfiling.framework
AERegistration.framework
Adobe AIR.framework
AudioMixEngine.framework
NyxAudioAnalysis.framework
PluginManager.framework
iTunesLibrary.framework
/Library/Input Methods:
/Library/Internet Plug-Ins:
AdobePDFViewer.plugin
AdobePDFViewerNPAPI.plugin
Flash Player.plugin
JavaAppletPlugin.plugin
Quartz Composer.webplugin
QuickTime Plugin.plugin
SharePointBrowserPlugin.plugin
SharePointWebKitPlugin.webplugin
Silverlight.plugin
flashplayer.xpt
nsIQTScriptablePlugin.xpt
/Library/Keyboard Layouts:
/Library/LaunchAgents:
/Library/LaunchDaemons:
com.adobe.fpsaud.plist
com.apple.remotepairtool.plist
com.microsoft.office.licensing.helper.plist
com.zeobit.MacKeeper.AntiVirus.plist
/Library/PreferencePanes:
Flash Player.prefPane
/Library/PrivilegedHelperTools:
com.microsoft.office.licensing.helper
/Library/QuickLook:
iWork.qlgenerator
/Library/QuickTime:
AppleIntermediateCodec.component
AppleMPEG2Codec.component
/Library/ScriptingAdditions:
/Library/Spotlight:
Microsoft Office.mdimporter
iWork.mdimporter
/Library/StartupItems:
/etc/mach_init.d:
/etc/mach_init_per_login_session.d:
/etc/mach_init_per_user.d:
Library/Address Book Plug-Ins:
SkypeABDialer.bundle
SkypeABSMS.bundle
Library/Fonts:
Library/Input Methods:
.localized
Library/Internet Plug-Ins:
Library/Keyboard Layouts:
Library/LaunchAgents:
com.BT.PKL.plist
com.adobe.ARM.202f4087f2bbde52e3ac2df389f53a4f123223c9cc56a8fd83a6f7ae.plist
com.apple.AddressBook.ScheduledSync.PHXCardDAVSource.45B48A27-9871-4335-99D8-FA1 FA534FCE0.plist
com.apple.CSConfigDotMacCert-(email deleted for privacy)SharedServices.Agent.plist
com.google.keystone.agent.plist
com.spotify.webhelper.plist
com.zeobit.MacKeeper.Helper.plist
Library/PreferencePanes:
(name deleted for privacy)-MacBook-Pro-2:~(name deleted for privacy)$ osascript -e 'tell application "System Events" to get name of every login item' 2> /dev/null 
iTunesHelper, Dropbox, AdobeResourceSynchronizer, Google Drive
(name deleted for privacy)-MacBook-Pro-2:~ (name deleted for privacy)$

Answer 1

Yes, a keylogger is installed. What you should do next depends on the circumstances.
If you're an adult, and the keylogger was installed on your personal computer without your permission, then the computer may be evidence of a crime or a civil wrong. Consider the legal implications before you do anything. Assume that everything you've done with the computer is known to the party who installed the keylogger.
If you just want to clean up the machine, see below.
The only way you can be sure that the computer is not compromised is to erase at least the startup volume and restore it to something like the status quo ante. The easiest approach is to recover the entire system from a backup that predates the attack. Obviously, that's only practical if you know when the attack took place, and it was recent, and you have such a backup. You will lose all changes to data, such as email, that were made after the time of the snapshot. Some of those changes can be restored from a later backup.
If you don't know when the attack happened, or if it was too long ago for a complete rollback to be feasible, then you should erase and install OS X. If you don't already have at least two complete, independent backups of all data, then you must make them first. One backup is not enough to be safe.
When you restart after the installation, you'll be prompted to go through the initial setup process for a new computer. That’s when you transfer the data from a backup in Setup Assistant.
Select only users in the Setup Assistant dialog—not Applications, Other files and folders, or Computer & Network Settings. Don't transfer the Guest account, if it was enabled.
Reinstall third-party software from original media or fresh downloads—not from a backup, which may be contaminated. Don't reinstall "MacKeeper," which is a scam.
Unless you were the target of an improbably sophisticated attack, this procedure will leave you with a clean system. If you have reason to think that you were the target of a sophisticated attack, then you need expert help.
That being done, change all Internet passwords and check all financial accounts for unauthorized transactions. Do this  after the system has been secured, not before.