Okay lets get this organized.
FIRST all of the unwanted connections are blocked.
This is good.
SECOND - dialup peoples always see tons of junk trying to connect.
This is the way life for a dialup user is and can this not be changed.
OTOH, every one of the internet file/web site servers see the junk you are showing in your logs and tons more of junk. That is the way of life for the internet file/web servers and this can not be changed.
First entry - somebody or something trying to a connection attempt to a proxy port.
Disregard the remote or source port and concentrate on the destination or your local port.
It's the local ports of your laptop where is the main concern is. Yup the source ports does gives some details, but IGNORE these please.
Why is this somebody or something is trying?
Because it could be just a server trying to establish connections that it needs or normally uses.
How do I know it is a connection attempt?
Because the TCP Flag is "S" which means it is a SYN. SYN means synchronize or an attempt to establish communications.
Why is it a proxy port?
Because it is 8118. And other proxy ports are 8000, 8008, 8118, 8080, 8088, 8188, 8888 and so forth - anything starting with 8 thousand and uses combinations of "8" are always proxy ports.
First entry or the first IP appears again and again. The next entry for this 22.214.171.124 is trying to connect to your port 135. Another port AHA now the mystery starts to unravel.
If this was a VPN or VNC connection attempt, the port 135 definitely will be involved for file and printer sharing and so forth. So maybe this is innocent after all and just some stupid server looking for it's usual connections.
Okay we see the 126.96.36.199 again for the ports 9788 and 7212. These are listed as "Unassigned ports". Kind of makes this hard to figure out. But on the other hand these specific ports are not troyan ports, so quite possible legitimate connections attempts.
Okay lets do a quick look at the 188.8.131.52.0- 184.108.40.206 or also known by the CIDR for this as 61/24.
Yup it is as you said. APNIC
What is APNIC?
That is the registry of domains that fall under it's control. In this case it is the Asia and Pacific region.
What does the APNIC stand for?
Asia-Pacific Network Information Centre
Want to see it?
What do they do?
They are part of the main core of dns server that are located through out the planet.Many are North American, some in europe and asia and in latin amercia. Just look at the list linked above and look at the different registries. The US registry is ARIN or American Registry for Internet Numbers.
Not hard to check for the whosis.
What do IP belong to?
ASN 4134 for www.ns.chinanet.cn.net (ns means name server or a dns server).
But this is a provider or network in Hong Knong. Still no distinct url. part of China Telecom
Why are the routes and the peers important?
Because this is the way this network connects to the internet and the internet connects to it.
Also if the other parts of the network/internet are too busy and cannot handle the work load, then the extra can be routed through the peers and the routes.
Okay first entry is finished.