1998 Oldsmobile Intrigue GL- 92,000 miles

When I first got the car, I had a remote starter put on it, and ever since then i've noticed the turn signals blink fast and they dont even blink in the front, but they do in the back. When I checked the front turn signal bulbs, the end of them were burnt. I bought new bulbs and no longer than 5 minutes after putting the new bulbs in, they started blinking fast again, so I checked them and once again, and the ends of the bulbs were burnt. I also noticed that ever since the remote start was put on the interior lights dont work either. Would you be able to help me solve these problems?