Under those circumstances, you have virtually no possibility of being approved for unemployment. If you had asked us prior to your claim being denied, before you had your appeal hearing, there's still very little way to argue that you didn't refuse an equivalent job. It was not a lay-off or closing situation, it was more like refusing a transfer. And the transfer was to a very similar type job.
Yes, your number of work days was increased. But the job, as I understand it, was refused by you due to a personal reason. You were offered an equivalent position. You did not want to accept it because it involved not even a different shift, but an hour or so adjustment in your schedule. That there were jobs they could have offered you that had what you considered more desirable hours is not relevant. That these jobs were given to people with less seniority is not relevant.
Your personal situation, regardless of how virtuous or pressing it may be, has no bearing on unemployment approval. That you were offered a position and did not accept it due to the starting time is what they are looking at in this situation. It might have been possible for you to start the job on the early shift, and later arrange a trade out with another employee who preferred your early start time to a later one. But under the circumstances, it doesn't seem that unemployment is going to be approved.
Have you already had your in person or by telephone second appeal hearing? If not, go on and ask for that one, you might as well, you certainly have nothing to lose under these circumstances.