I agree, I would add the front stabilizers. Stabilizers are an option for Sunline, but when campers were ordered with stabilizers, it had all 4 of them. Even on floor plans smaller than yours.
If you happen to have 2 small bottle jacks or screw jacks, or even wood blocks shimmed tight, you can try it with them just touching under the frame up front. If it feels more solids, odds are high it will, then add the attached crank down stabilizers.
We have a front bedroom and when the back the camper wiggles, the front moves. We had this on our prior T2499 and our current T310SR. Trust me, when my wife is laying in bed and I'm walking around in the back, she lets me know real quick I need to go out and do something about the wiggle.
Current Sunlines: 2004 T310SR, 2004 T1950, 2004 T2475, 2007 T2499, 2004 T317SR
Prior Sunlines: 2004 T2499 - Fern Blue
2005 Ford F350 Lariat, 6.8L V10 W/ 4.10 rear axle, CC, Short Bed, SRW. Reese HP trunnion bar hitch W/ HP DC
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