Please, excuse me if your question has already been answered. I am new to this forum and I do not find any indication if posts have been replied to or answered correctly for that matter.
But I will take a shot at your question.
Q: "Till when can I claim unemployment ?"
A: You may go ahead with your business, but be sure to report hours worked for the weeks claimed and you will be deducted accordingly for the weeks claimed and a balance of your benefits will be sent to you.
Please note, if you work more than 32hrs a week for a consecutive two weeks in a row, you will be considered to be -back to work full time-, and in this case you may be dropped from unemployment benefits and your current claim will be closed.
Your "tricky part" question has been answered.