Wonder how infalling matter is seen from a event horizon?

Assuming light to blueshift everything outside the event horizon should speed up, locally measured from the Event Horizon, and infalling mass should then seem to arrive, as good as, instantly. That is if it speed up, locally defined? You can also imagine yourself accelerating, to get that effect, which then close to light speed would mean, what? Just think of some other frames trajectory or geodesic, then accelerate, if now your local clock slows down relative a universe, will those geodesics mass move faster, as defined by you? It's also a question of your motion relative theirs naturally, but what I'm wondering about is how a local clock will define other frames motion, when close to 'c'.

If you think it will, is there a point where that trajectory or geodesic, for you accelerating, will seem to move ftl? It can't be , unless 'c' is wrongly defined. Because we define it locally. We can also assume a uniform motion, after such a 'final' acceleration. Will your clock still 'tick' slower relative other frames of reference, equivalent to your accelerating, or do you expect that local clock to become of one rhythm, same for all uniform (relative) motions?

First of all, there's degrees of hells here

A relative motion it still must be, but you accelerated first, as close to 'c' as you could. So, what would you expect?