Hello Yve,
I am a Polish man and here's my 3 grosze. If you have good chemistry all will be alright or will break as fast as a glass vase. Some tensions are due to man - woman relation rather then cultural but here's what I can think of:
He might want to see you every day or every second day if you're not ready for that frequency of dates find ways of communicating it to him but withut hurting his feelings. He may not understand why don't you want to be with him intead.
He may think "harrasing" you by frequent calls and dates is to shows that he likes you.
He might leave it up to you how you spend time together so have some variety to offer and do not limit dates to restaurants by no means.
It is likely he will admire your individualism and independence from one hand and enjoy you being natural and femine.
Good luck