So your phone didn't break, you broke it?
OK, this is really important: I thought that you had developed a fault with the phone, SIM or account. Now it turns out you have rooted the phone and been manually deleting apks from the system. It's taken 4 rounds of question and answer for you to reveal this, and we cannot help you if you keep things from us. So what else have you removed, because removing Chrome won't break other browsers and won't break GMail (I keep Chrome disabled on my phone, and it was never installed on my previous phone, so I know that GMail does not require it)? If you keep giving partial answers people will lose patience, so it would be best tell us everything you have done to this phone now rather than holding back crucial information like this.
But actually I think the solution is simple: you either flash a new custom ROM or you reflash the phone with stock software. Either way this will give you a new, complete ROM and hence fix whatever you've done (reflashing to stock will also unroot the phone). Unless of course you took a nandroid backup before you started deleting things from /system (and you should always take a nandroid before you change /system in any way whatsoever), in which case restoring the backup will fix things.