Is there any problem with Suicune's image/trademark or anything else like Kadabra's problem with Uri Geller?
Is there any real problem with it?
No, according to the article about Pokemon controversaries of Bulbapedia, there is no problem with Suicune.
Actually, Suicune won't be distributed because you can get it in Ultra Wormholes by getting two others.
Suicune has two EX cards, I guess.
As far as I know, no. Suicune doesn't have anything wrong with it.