Hi. Hope you are keeping well in these difficult times?
The first pic you show is of the door check strap and is almost insignificant. I really wouldn't worry about it. A wee spray of lubricant or a smear of grease will be fine. The second pic is the strut top mount retaining plate. It's only job in life is to stop the strut dropping out of the wing when you jack the car up so the wheels leave the ground. (or, I suppose, if you are in the habit of doing frequent "Dukes of Hazard" type jumps over your nearest sleeping policeman?). Your's do look quite rusty but they are made of very thick metal and will have to corrode a lot before it causes any problems. You could try a rust converter and then paint them or just smear some grease on them. You can buy replacements quite cheaply from the likes of Shop4parts. They are only held on by that one nut in the middle so you could change them yourself as long as you didn't jack the car up with the nut removed! Again though, I wouldn't be loosing any sleep over them. (by the way the nut can sometimes be very difficult to remove with just basic tools)
What would be much more serious would be rust in the metal of the bodywork itself, particularly if it was around the strut top mount and I see no signs of that from your pictures. Having owned several MK1 Pandas and the problems they had with rust in the bodywork, I am very impressed indeed with the lack of rust evident in my newer 2010 model. Fiat have obviously upped their game considerably in this regard.
On our wee Fiats the rear axle is well known for rusting it's spring pans and my Panda has a certain amount of that. On any car it's the bits you can't see easily where the rust usually becomes a problem - for instance the inner sills, "chassis" box sections and suspension mounting points. You can get a look at this by jacking the car up but not, please, just supported on the cheap wee jack that comes in the boot with the car and is only really, just, suitable for changing a wheel. Putting it up on a ramp is probably best for getting a really good look.
So, from the pictures you've posted, I don't see anything to be worrying unduly about.
Hope you keep well, take care
Jock