I'm not sure how it is done now, but this is the way it used to work at UAL.

It depends on if she has been released to the line by the time bids close for the next month. If she has completed IOE by the 12th, she should be able to bid for the next month. The remainder of the initial month after IOE will be reserve. Also, if she is not able to bid, or bids close before she has completed IOE, she will be on reserve for the next month as well. With that said, I don't know when PBS will let her bid or put in a standing bid. Others that have returned recently will have better info.

You are not assigned a monthly line with check airman. You will be assigned a trip for IOE by the training desk, most likely a trip in the LCA's line. When IOE is complete, see above. Depending on the plane, this may be more than 1 trip to complete the required training or area quals if going international.