im sorry
im impatient
heres the first one
by far the most difficult
it is assur for a man to examine himself in a mirror.
it is assur to allow a goy to give a man a haircut (sakana)
but it is mutar to allow a goy to give one a haircut if there is a mirror for the man to watch the whole process.
and it is mutar to examine oneself in a mirror if it for the purpose of allowing a goy to cut his hair in a mutar fashion.
if anyone is still interested, number two is the easiest and is based on a very well known Halachah, it’s just a matter of thinking of it.