Numerous ATV DAAP ports to MacBook Pro

Question

This is related to Apple TV3, sorry for the long intro.
My internet connectivity pretty much *****.
Speed Tests show I'm receiving 16M download as advertised.
When I try to connect to a web page, it often freezes and only partially downloads
Using "netstat" or "network utility" I often find a number of TCP connections in SYN_SENT state
And when I say "a number" as many as 111 connections with maybe 1/3 of them in SYN_SENT.
While this hardly seems like a lot, it leads me to question why so many, which in turn leads me to
find these connections between my MacBook Pro (Mavericks) and Apple TV 3.  Why so many?
I do NOT have Home Sharing turned on for iTunes on my Laptop, yet it shows up as one of the
libraries available to the ATV3.  And I can play the TV shows available on the laptop through
the ATV3.  The ATV3 is connected via ethernet to an Airport Express.
(As an aside, the mini-mac (2009 model running Mavericks) which is the iTunes Library (12.1) i want to share
will often require me to reboot the ATV3 if it hasn't been accessed for more than 12 hours)
Although it should not matter, I wonder if the UBEE cable modem router (which is
providing DHCP) is seeing these connections and is hitting some limit on port forwarding
which is (part of) the cause of my lousy internet service.
Anyway, why so many ESTABLISHED connections
and why do only some of these listed connections include the system name
(they are all between the same ATV3 and MBP)
tcp4       0      0  192.168.0.8.daap       192.168.0.254.54603    ESTABLISHED
tcp4       0      0  192.168.0.8.daap       192.168.0.254.54596    ESTABLISHED
tcp4       0      0  192.168.0.8.daap       192.168.0.254.54595    ESTABLISHED
tcp4       0      0  192.168.0.8.daap       192.168.0.254.54594    ESTABLISHED
tcp4       0      0  192.168.0.8.daap       192.168.0.254.54593    ESTABLISHED
tcp4       0      0  192.168.0.8.daap       192.168.0.254.54592    ESTABLISHED
tcp4       0      0  192.168.0.8.daap       192.168.0.254.54548    ESTABLISHED
tcp4       0      0  192.168.0.8.daap       192.168.0.254.54544    ESTABLISHED
tcp4       0      0  192.168.0.8.daap       192.168.0.254.54523    ESTABLISHED
tcp4       0      0  192.168.0.8.daap       192.168.0.254.54517    ESTABLISHED
tcp6       0      0  johns-macbook-pr.daap  great-room-apple.54507 ESTABLISHED
tcp6       0      0  johns-macbook-pr.daap  great-room-apple.54504 ESTABLISHED

Answer 1

To replicate the problem and provide some packet exchanges...
I have iTunes running on my laptop.
I wake up my ATV and navigate to the "computers" menu.
The ATV claims that there is no Homesharing turned on on any computers. 
   -- There is a minimac with iTunes running and HomeSharing on
   -- My laptop has iTunes running with HomeSharing Off
The ATV is restarted, when I navigate the the "computers menu"
   -- both the mini-mac and the laptop show as options on the ATV.  (The laptop should not be there)
   -- 3 DAAP sockets are opened on my laptop using IPv4
I ignore the ATV for about an hour waiting for it to go to sleep.  (meaning there is no output to the TV HDMI)
  -- DAAP sockets start getting open on my laptop and not closed
  -- Both IPv6 and IPv4 sockets are being opened
  -- There are "huge bursts" of DAAP packet exchanges (using tcpdump) between the laptop and the ATV.  (over 200 packets per "burst")
  -- Between 12:29 and 12:53 there were 12 Bursts capturing a total of 1175 DAAP packets
  -- there are now 34 daap sockets open, they are both IPv4 and IPv6 sockets.
  -- nap shows 17 IPv6 addresses associated with the MAC address of the ATV for example:
     2605:e000:1103:8102:c15e:ece6:8835:4627 68:d9:3c:7d:a2:3f en1 23h51m56s S     
     2605:e000:1103:8102:cc7c:6364:4898:4a64 68:d9:3c:7d:a2:3f en1 23h35m13s S     
  -- arp -a shows the ATV address associated with the MAC address of the Apple Airport Extreme (tower)
     ? (10.0.1.21) at 90:72:40:c:8c:9f on en1 ifscope [ethernet]
  -- tcpdump shows DAAP packets being exchanged to the MAC address of both the AEX and the ATV.  (I only tracked DAAP packets)
  -- Some bursts are initiated by the ATV
  -- Some bursts are initiated by the laptop
      --- bursts initiated by the laptop are sometimes sent to the ATV MAC address and sometimes to the AEC MAC
           bursts that start out being sent to the AEC MAC will end transition to the ATV MAC
If someone wants to review the tcpdump of the packet bursts, I'll be happy to share the file via some other method than posting it here.
When I wake up the ATV, some DAAP sockets time out.  Although it takes a while.
The Bursts of packets have stopped but there is still an exchange of packets. 
These exchanges are both IPv6 and IPv4 and appear to be initiated by the laptop.
I'm guessing they are closing the sockets.   However, many of the sockets remain open
or in CLOSE_WAIT state and there haven't been any packets exchanged for the last 30 minutes
14:25:36.648586 70:56:81:93:c7:c9 (oui Unknown) > 68:d9:3c:7d:a2:3f (oui Unknown), ethertype IPv6 (0x86dd), length 86: johns-macbook-pro.local.daap > great-room-apple-tv.local.49232: Flags [F.], seq 3866625054, ack 343499458, win 8192, options [nop,nop,TS val 478909895 ecr 156581444], length 0
  0x0000:  600a 2225 0020 0640 fe80 0000 0000 0000  `."%...@........
  0x0010:  7256 81ff fe93 c7c9 fe80 0000 0000 0000  rV..............
  0x0020:  0877 0d72 a14b 4794 0e69 c050 e678 041e  .w.r.KG..i.P.x..
  0x0030:  1479 62c2 8011 2000 75c6 0000 0101 080a  .yb.....u.......
  0x0040:  1c8b 95c7 0955 3e44                      .....U>D
14:25:36.651504 68:d9:3c:7d:a2:3f (oui Unknown) > 70:56:81:93:c7:c9 (oui Unknown), ethertype IPv6 (0x86dd), length 74: great-room-apple-tv.local.49232 > johns-macbook-pro.local.daap: Flags [R], seq 343499458, win 0, length 0
  0x0000:  600a 2225 0014 0640 fe80 0000 0000 0000  `."%...@........
  0x0010:  0877 0d72 a14b 4794 fe80 0000 0000 0000  .w.r.KG.........
  0x0020:  7256 81ff fe93 c7c9 c050 0e69 1479 62c2  rV.......P.i.yb.
  0x0030:  0000 0000 5004 0000 b36d 0000            ....P....m..
Kind of off-topic, and perhaps should be on a separate thread...
This show that two IP addresses have been assigned to the ATV.  The first is the wireless (I assume) MAC on the ATV.
The second shows the ethernet interface on the ATV.  The ATV is connected via ethernet.  The ATV is connected via ethernet.
It knows about the wireless network, but I don't think it should be using it.
? (10.0.1.19) at 68:d9:3c:7d:a2:3e on en1 ifscope [ethernet]
? (10.0.1.21) at 68:d9:3c:7d:a2:3f on en1 ifscope [ethernet]