Many of the lever actions are cartridge length sensitive. I know my Rossi 1892 likes .357 cartridges better than .38spl.
You might be able to load your current load in the .357 case. With a larger case volume, you might experience somewhat lower velocities, and, with Unique, perhaps less complete combustion. You could switch to a slightly faster powder if Unique turns out to be too slow for that load in the .357 case. Or increase the charge amount slightly. (as has been suggested already).
I shoot ALOT of .38spl in a Uberti 1873 clone and it works fine with a COL of about 1.5 inches. But my Rossi, when run fast, (think CAS) like the longer .357 cartridges.
Another option is to seat your bullet further out in the .38spl case. I crimp 125g bullets between the crimp groove and the lube groove, giving a longer COL than normal with the .38spl case. Oh, I see you are shooting JHPs. That may not work then. I'm shooting lead/coated bullets.
If you are just plinking (inferred from your reference to "light loads") then you should consider switching to a faster powder (bullseye, 700x, clays, clay dot, etc) and cheaper lead bullets. Faster powders will burn cleaner in both .38 and .357 cases at light loads.
A lot of the Cowboy Action shooters (CAS) have done work on their lever actions to manage the cartridge length issue. There is a great explanation here.
http://www.theopenrange.net/articles/togglelink.pdf
and lots of discussion of the issue on the SASS forum: (one of many threads)
http://sassnet.com/forums/index.php?showtopic=227765&hl=+cartridge++length#entry2955828
Hope that helps.