First, welcome to the forum.
If you have concerns if your CZ handling modern ammunition, I would suggest that you take it to a gunsmith for a thorough checkout.
Based on what you have written, I would not suggest that you shoot it until then.
"A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed."
Life Member NRA
Life Member NAHC
Former President of the ECPT (Eifel Combat Pistol Team)