Wasim,
Initial thoughts. One IP would need a wildcard or SAN certificate, or even SNI if the clients support this and you've got a later version of TMOS (v11.1 or later I think?). This is to prevent certificate issues.
You'd need a clientSSL profile to decrypt the SSL connection and then an iRule / Http class profile or local traffic policy (if TMOS 11.4 or above) to do your redirection based on host header.
How Can i redirect Internet users request hitting on F5 Public IP address to be redirected to Internal Websites which are hosting on different VIP.
Do you meant to redirect to a new URI, as your example shows above? Or do you mean redirect to another, seperate VIP? If a VIP then this would need to be publicly routable.
Hope this helps,
N