Bobby, I replaced mine with a standard entry set from Home Depot -- cost about $10.
Kwikset, Schlage, and others make them -- the one I got was branded "Defiant".
When I looked at the pictures you sent me I think the lockset was put in backwards, with what should have been the inside actually installed outside.
Ignore how the current one is installed on your trailer and follow the printed directions -- I think you will get better results.
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I was assuming you are talking about the knob and not the deadbolt. If you are asking about the deadbolt you will have to get a short-throw deadbolt, buut they are hard to find anymore because government regulations require long-throw deadbolts on residential units.
One way of getting a short-throw deabolt is to buy a normal long-throw one and cut it down. You don't need to cut off the whole end, but merely slim down the "outside" portion -- the part that hits the
fiberglass shell. The distance between the strike plate and
fiberglass shell on my trailer is about 1/2", yours may be different.
Time for bed -- if this doesn't make sense to you I'll try to take some pictures for you.