Yes you can buy/unlock as many as you want, for 25K each.
then you switch between them by summoning them.
And you continue each one from the part you left off, so its pretty easy to complete them in the long run. You can play various character towers in the same day, going back and forth.

Does anyone know what game modes count towards that progression. I know klassic towers count and I tried local and it didn't. Maybe only towers count?

I understand that. But my problem is that i can not start the 4th tower because one of the requirement was to connect 50 throws during the previous 3 towers and i did not do that and the towers are locked so i cant replay them. If i start another one and then go back will it be reset?

No..its overall.

You can make these throws in every tower and its counting for the character-tower. So its worked by myself to get 75 brutalities and fatalitys.

Okay. So it has to be done in the towers. Cause i did it the cheap way in 1vs1 local matches and did not count.

Yes its also works in classical towers.

Just do them in another tower ;) had the same problem :D

Same problem here... there is no way to replay the previous character towers to unlock the final tower.... is annoying...

Towers of Time and any Klassic tower. Doesn't work anywhere else.

try doing the throws in towers of time it works but it doesnt work in klassic towers do it in other towers instead .

It does work in klassic towers. It works online too.