We had the same issue also. I have an extended warranty so I took it to the dealer and they replaced the wiper motor and that was a no go. Then they replaced the TIPM module and it all works fine now.
Mine is the same. lock and unlock emergency alarm all work fine. I can start and drive no problem just the remote start don't work. It's been awhile since I messed with it so I`ll try the push all buttons again some day and check again.