Hi! My Thunderbolt does not receive large SMS in either the Handcent App, (I had to download Handcent because the stock texting app on my T-bolt would send my texts to whomever it wanted to and not my intended recipient), or the stock app. It only accepts texts with about 160 characters or less and doesn't split larger texts into 2+ messages.
It is on my galaxy nexus. There is forum for that, but booth nexus and nexus 4 have same OS, i think it can be solved here.
Since I have nexus i use all stock. Therefore sms app too. And I was not able to send sms only to one number. I cane recive sms, call and receive calls, but I can't send sms. I installed Handcent sms, and now I can send sms to that number with no problems at all.