these pieces of evidence .......
It's not unreasonable to expect a panel to digest a short letter on the day, but anything more substantial, and you might risk having the hearing adjourned to a later date.
While it's a good idea not to overplay extenuating circumstances, I think it would be best to submit all your evidence in advance, and just provide a brief covering letter saying that this is background information to your case (labelled 'appendix 1', 'appendix 2', etc.).
Then, when it comes to the hearing, don't say too much about the additional evidence. It's already there on the record for the panel to see. Don't go out of your way to highlight it. Leave it up to them to ask you questions about it if they wish.