Question 1 : Can i connect with main network token using my private blockchain network?
No. Currently, different chains are not able to interconnect directly. You would need a middleware to handle that (like a nodeJS server with web3js).
Question 2: How can i manage the token's transaction process with my
private blockchain network?
You would also need a user interface to show the balance tu the user.
Note: ICO (are you an other scam? Please don't tell me you have a white paper...) are not very "good" on private chain, because the token is worth nothing and not tradable with token exchanges. If you really want do build a PUBLIC token, just do it on main net.