Hi, Bill! Similar buzz happened 2nd fret on 6th string in my cheep guitalele.
I have two friends who are guitar techs. I bring it to one of them. He checked 2nd fret with his metal ruler as fret rocker. The 2nd fret is bit higher than 1st and 3rd fret and ruler rocked. As the guitalele was cheep, he didn't want to fix and suggested me to sand the 2nd fret a bit with sandpaper. I asked him if I can use hammer to lower the fret wire. He told me not to use hammer. Actually hammer is bit dangerous to use fret wire without much attention. I once used it in order to remove nut on my guitalele and it hurt a bit on the fret. As long as you can not feel anything wrong with your credit card rocker test, you should not do anything on 2nd fret. It's not so small or unclear things which we can not distinguish well.
Many people do not like raise tuning. Because it raise more pressure on bridge and body. And string instruments are good at sharp and bad at flat in terms of playing. We can easily to take sharp because we just need put finger on or capo on. Guitar is good at sharp keys (C, G, D, A, E). On the other hand, wind instruments are good at flat. And many jazz songs are played on flat keys (F, Bb, Eb, Ab, Db). Wind instrument are easy to take flat, they just need to release holed by finger tips. And may wind instruments are made on flat keys. Some people takes half step down tuning on guitar. Jimi Hendrix did that too. But not many people do half step up tuning. If you want half step up, we normally put capo on and it is easy. If I were you, I change strings. Just change strings sometimes leads to good results, and my guitar tech often suggest me. High tension strings may have same effect as your half or one step up tunings.
I did nothing on my buzz on my guitalele so far. I do not use much 2nd fret of 6th strings. And if I put more pressure on my finger tip, the buzz disappear. It is just same as your buzz, more tension better sound. I use extralight gauge on the guitalele. If I really want to remove the buzz, I will try light gauge or medium gauge.