Hello and welcome. I am not sure about the burner. Do you hear gas flowing? Do you see any loose hoses? I have not worked with mine so my knowledge is limited. Be careful working with the gas.
I have had a very similar experience as you with the bunk end leaks. As a new 2014 23ss owner, I was faced with both bunks leaking and water would enter the trailer. I was quite dissapointed and worried that my brand new trailer was getting damaged.
Please see several of my previous posts as well as a thread that I started about my issue.
Roo 23ss Bunk End Leaks
Plus there are many other posts about this issue. Just do a search for "bunk end leaks" or wet bunk etc...
I would argue that you should not have any water working it's way behind the bunk door when it is closed. Many happy owners will tell you that their Roo has never leaked. So that was my goal as a remedy to my issue. After two visits to the dealer and careful documentation on my part, my issue was resolved. They did a number of things ranging from adding caulk, adjusting the door closing pressure and replacing the black foam seal.
For starters, I would carefully monitor the issue and take notes. Ask... Is the water penetrating the black seal or coming in from somewhere else? I've read on here where water can come down through those marker lights and into the trailer. Also inspect the actual seal itself. are there any cracks, cuts or holes in it? Are the horizontal and vertical foam strips flush when they meet, creating a good seal. Is it a gap where they meet? If so water could get in. That was part of my problem.
Can you duplicate the issue with a garden hose? I would try to because this might help point the dealer in the right direction.
Let me assure you that there is light at the end of the tunnel. The people here in the forum are very helpful and Forrest River stood behind their product for me. My repairs were made in a timely fashion with no hassel from the dealer.