You request then you request again… Yep, this sounds like a request to me.

請求 isn't just any old casual request — it's used when formally requesting something from another party. It often involves payment requests (like a charge), but can also refer to asking for things like application forms or informational materials. It can even refer to the kind of claim you file in court.

This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.