Hiya Pat
Stoopid question coming up but is that a yellow and black Speedy?
If it is, then you obviously have no inner tube so, if the tyre, sorry, tire doesn't go down, I wouldn't worry.
Over here, if it's a roofing felt nail, it won't be too long but if it's a galvanised 'clout' nail, it may be long enough to cause a flat.
I'm no expert but I wouldn't have thought a plug repair will cause any problems to the tyre - providing it's not too near the wall.
Either way, good luck.
As for smoking the Harl*y? you really should know better at your age

Bloody good fun though eh?