These are PLASTIC-rubber bushings. They do not rust-in like a classic metal ones.
I just did my rear axle 2-3 weeks ago. Biggest problem was: rusty brake lines/hoses! Seized.
Needed gas torch to heat up (+ some improvised shield: fuel lines area!). Then...ABS sensor plugs. Next problem: shock absorber bolts.
Axle itself, mounts, were easy.
Tools (black set of sleeves) you are showing above are NOT "extractors" but install tools only here. Bushing has a "lip" (shoulder, rim, flange).
Old bushes can be just popped out with a hammer, cut out etc. Installing new ones is harder than removing old. Usually, the opposite is true.
Here's a video (short because the axle itself is easy, there's nothing to film there really). Mind the position ("clocking") of the L/R bushes.
https://4cardata.info/elearn/199/2/199000000/199000000/199000001/199002758
Rough alignment can be done using tape measure. Yes. Most important number is 2510 mm, axle spacing ("tram, scrub, parallelism").
If the rear axle is installed unevenly, it will pull the car to the side and the steering wheel will be titled/crooked!
Do not let anyone "adjust" that by messing with the front (steering rack ends)! Rear was repaired, so start with the rear.
Forum version (non-English), more details (explanations) than in the video:
https://fiatpunto.com.pl/topic62202.html
Rusty-crusty handbrake cable mounts will spoil the handbrake performance (too much flex/play in the system), consider swapping the mounts too (or repair them). So the rear axle job is a little brake job too.
Same story for the front suspension (track control arm/wishbone bushings worn, cracked)...
Bushings here don't have a shoulder, so simple "extractor kit" can be applied. By the way diameter is almost the same as rear bush.
Front camber IS "adjustable", there is some play in the 2 bolts (shock absorber - knuckle).
Lames will tell you it is "non adjustable" because eLearn says so...