NO.
When you reapply for benefits after working enough that you could not draw for a week, you are NOT filing a NEW claim. Once you have filed, the claim is in effect for one year from the date it was filed. Any time you file for benefits, you will be filing against that same claim. And of course, since you were approved for benefits, it's an approved claim.
We are assuming that when you say that you did "substitution" work that means that it was, by its nature, a short term temporary work situation. You accepted a job to fill in for someone for a few days or a few weeks or months. You did not expect this to be, and it was not offered to you as a permanent full time job.
You did not quit, and you were not fired, so no new appeal, hearing, etc., will need to be worked out. The place you did the substitution work (assuming it's somewhere different than your last employer you were drawing from) is not going to have any liability for your current claim anyway, so they are not going to be motivated to try to keep you from going back on this claim you've got going right now.
There will be a quick decision on your eligibility to reopen. That you have worked all the hours this new employer had available for you is all the unemployment system will need to verify to reopen your claim. They can do this with a quick phone contact with this employer.
Now about your previous employer. You are NOT filing a new claim, you are reopening your current claim. And this claim has already been adjudicated. If it has already been through all its stages of appeal, initial decision, two party hearing, and board of review, there's NO chance that the claim will be denied at this point based on this separation.
Just because you are re-opening, you do not have to re-fight the whole issue of your original separation. Your employer does not get another shot at you unless you went back to work for HIM. As long as you did not quit or get fired from this substitution job, there should be no problem with starting the claim back up.
I don't see where we were told anything about how long it has been since the separation decision was made, or whether it was a hearing decision, an initial decision, or whatever.
The system is supposed to be set up so that you can do all the temporary or substation or fill in work you can get, skipping weeks of benefits and then reopening the same claim when this work ends (through no fault of your own.) This will actually help you, as you do not lose weeks of benefits if you do not always file consecutive weeks, they are kept in the claim waiting for you to file for them.
Do be sure and religiously report all earnings you make on all work you do, even part time or fill in work, let them decide what to do about it, because if you do not report it, you'll be caught for fraud. But they encourage you to take up all you can as far as temp work and extend your claim as much as possible. No claim is going to be more than 26 weeks in a benefit year, ( year from the date you first signed up) so hopefully you'll be back to work before it runs out.
