Please Advice

I have Zone Alarm pro firewall installed on my computer which blocked more that 25 intrusion attempts. Whenever someone tries to intrude my computer Zone alarm will prompt me with a message which contains the port that the hacker uses and other information. For example:

[TCP Port 1080] 58.20.108.22 [TCP Port 53735] [TCP Flags: S]

I have written down many of the ports. Can I do anything with those ports; something like using them as evidence? Please help me!!!!