Beginners, new tyres

Hi together, I have now bought a used Er6n which I pick up on Thursday. The tires were never changed (machine built 2011, 5,200km). I am a total newcomer and therefore ask for a little indulgence for the possibly very stupid questions. Since the tires are already old I have requested today an offer for new ones. Now to my questions. 1. can I without hesitation with the old tires in nice weather over the highway home? Or generally these tires vll. still this year drive at least until August there the HU is due anyway and I assume that the examiner tells me that the tyres may not go any more (tires are not cracked and don’t actually feel brittle) 2. Can I use new tyres on the highway? Or should I rather drive home by detours? LG