If you bought back the $36 put, you might consider selling the March $36.625 puts at $.35. That puts an additional $250 into our pockets (for a 10 contract position). Support at $37 still looks pretty good.
You may want to hold on to see if the QQQQs go down even further. That's up to you. Just don't get too greedy. The delta of the $36.625 put is about -36. That means the QQQQs would have to go down about another $.15 (to about $36.90) to get another nickel on the option.
Also, if the market continues down, keep an eye on the $38 call. If you have a chance to buy it back for a dime in the next few days, it may not be a bad idea.
Good luck and trade smart!