I will Paypal you $100 if you can resolve this Port Forward problem

Question

Believe me when I tell you, If you are the person who fixes this problem, I will GLADLY Paypal you $100.
This is so unbelievable. Short story is, after 12 hours of paid support through Support RIX, 6 hours with TWC support, and 4  different modems there isn't a single person in these groups that can get ports forwarded on my Linksys E4200 router.
I am running a fresh copy of windows 7 with all updates and no anti virus installed. I purchased a Motorola ARRIS SURFboard modem 200 series DOCSIS 3.0 so I have no double router issues. Before I was using the TWC moden/routers in bridge mode.
I have no problem setting a static IP or configuring port forwarding. It doesn't matter if I have windows firewall on or off. I can't get an outside port checking website that can verify an open port.
I am trying to play Battlefield 4 using the port forwarding request they provide.
If I run a local port check program on my computer it will confirm the ports open. Ok, Fair enough. They tell me the outside port checking utilities will say the port is closed unless I am running the program that uses these open ports.
SO I run the game and check and it always says port closed. One of the ports I want to open is 80. It has to be open to get internet anyway but it still shows closed using the online port checking websites. 
I connected the computer to the modem. No router. I keep getting ports closed or filtered when I check through 6 different port checking sites. Leads me to think their is some kind of block in the ethernet card software.
Its a Realtek PCIe GBE Family controller with a driver date of 8/26/2014. Latest one I could find.
I think its an ethernet card filter. Just my thoughts. Here is the current adapter card settings.
Advanced settings on Ethernet card
Auto Disable Gigabit/ Disabled
Flow Control/ RX & TX Enabled
Green Ethernet/ Enabled
Interrupt Moderation/ Enabled
IPv4 Checksum Offload/ RX & TX Enabled
Jumbo Frame/ Disabled
Large send Offload v2 (IPv4)/ Enabled
Large Send Offload v2 (IPv6)/ Enabled
Network address/ You can check the box for Value and add one. Currently its checked to Not present
Priority & VLAN/ Enabled
Receive buffers/ 512
Receive Side Scaling/ Enabled
Shutdown Wake-on-Lan Enabled
Speed and duplex/ Auto Negotiation
TCP Checksum Offload (IPv4)/ RX & TX Enabled
''''''''''''''''''''''''''''''''''''''(IPv6)/ RX & TX Enabled
Transmit buffers/ 128
UDP Checksum Offload (IPv4) RX & TX Enabled
'''''''''''''''''''''''''''''''''''''''(IPv6) RX & TX Enabled
Wake on Magic Packet/ Enabled
Wake on Pattern match/ Enabled
WOL & Shutdown Link Speed/ 10 Mbps First
I used a port tester downloaded from PCWinTech.com v3.0.0. It says the ports are open. When I close port 80 it says port 80 is closed. My problem is nothing outside my network can confirm an open port. It always states port closed.
The game I am playing is Battlefield-4. I have played all of the campigns without any problem but once online it crashes. The BF-4 community says I need to open 5 single ports and 5 port ranges. This is what I am trying to do.
We have tried an ARRIS router modem, a Ubee router modem (both in bridge mode) and are now using a motorola modem. All with the same problem. We checked the ports during game play and they all say closed.
I will post pictures of my current router settings.

Answer 1

What model router do you have?
What Firmware version is currently loaded?
What region are you located?
What is your current model ISP modem your using now? 
What ISP Modem service link speeds UP and Down do you have?
Check cable between Modem and Router, swap out to be sure. Link>http://en.wikipedia.org/wiki/CAT6 is recommended.
Check ISP MTU requirements, Cable is usually 1500, DSL is around 1492 down to 1472. Call the ISP and ask.
http://kb.linksys.com/Linksys/ukp.aspx?vw=1&docid=88e63d78588142e6bb68e22d7faf2046_Configuring_the_M...
Router and Wired Configurations
Setup DHCP reserved IP addresses for all devices ON the router. This ensures each devices gets its own IP address when turned on and connected, eliminates IP address conflicts and helps in troubleshooting and maintain consistency for applications that need to connect as well as mapped drives.
Ensure devices are set to auto obtain an IP address.
If http://en.wikipedia.org/wiki/Ipv6 is an option on the router, select Local Connection Only.
If you set up port forwarding, disable uPnP and test. 
When you check for port status, you have to be actively using the port before you scan check as you may get a false negative if your not using the port. If your using the port then check the status, you should get an accurate result. 
I would try using Port Range Triggering instead of PF and set up the port as follows for your PC that your gaming with:
0 thru 65535. A bit less hassle to set up then all those different port rules. 
PC 3rd Party Security Software Configurations
Turn off all anti virus and firewall programs on PC while testing. 3rd party firewalls are not generally needed when using routers as they are effective on blocking malicious inbound traffic.
Turn off all devices accept for one wired LAN PC while testing.
Disable any downloading client software managers, i.e. Torrents or similar.