A little confused cos you keep saying date on, but I think what you’re saying is basically, they have a second date planned, but he’s not confirmed and your friend is unsure if it’s still going ahead. They’ve been messaging each other, and their talking on the day the second date is meant to happen, but no mention of the actual date?
Or from your last bit “he still didn’t speak on the date” do you mean they went on the date, but it didn’t go as good as the first?
Assuming it’s the first bit, the most worrying thing is the double texting and “telling her not to ignore him”. If he was being really aggressive and domineering and demanding in this messages then definitely a huge huge red flag and she should probably end it there, tell him she’s not interested, doesn’t see it going anywhere and say goodbye. Defo should not drag it out anymore. That’s a huge overreaction at best that not warranted given what’s happened, and signs of dangerous behaviour.
If it’s more ‘polite’ and kinda of ‘noticed you’ve not been saying much’ etc and (you can get a good sense of tone from the message) then worth just explaining / clarifying with him why that is. but if you’re friends not sure it’s better to just cut ties an avoid potentially wasting time energy and effort.
If it’s the second one, basically a poor date, then time to just end it there and move on.
If they’ve set a date, but not confirmed , as much as maybe the guy should confirm/ask/follow up, there still nothing wrong with your friend just dropping message (at least for the first time) to see if your still on. Saves any confusion. If they keep seeing each other, but he doesn’t confirm when a dates set then that’s something to pick up whe. Talking to him.