I would go with: Do you have any problems (with) buying anything online. I would use 'to buy' in this situation: Would it be a problem for you to buy this online? - so more with a specific situation, and not in general like in the first sentence.

Hello. Sorry, I don't really understand your question. It seems like you're trying to ask someone "Do you have any problems buying anything online?", but I'm not exactly sure. If you write your question in Japanese, I think I can give you a better answer. こんにちは、まきさん。すみません、その英語の質問がなかなか分かりませんが、もし「オンラインでの買い物にはなにか問題ありますか？」と言う質問が聞きたいと気がします。日本語で聞いたらより適当な答えをできます。