In need of advice: amplifier

Do you need more channels in addition to what the Proceed Amp5 provides, or are you just unhappy with it for some reason?

This listing is a 4-channel, but you could always leave one unused.  It uses the Hypex amp modules which are considered to be some of the best on the market:

https://www.audiogon.com/listings/lis8h697-ati-544nc-l-k-multi-channel-amps

I  would like to have a little more power in front.
Do you  thinks is enough with the Amp5 ?

Since you already have it it wouldn't hurt to try it out and see.  Focal rates them at 89db efficiency, which is slightly above average.  I can't find an impedance/phase graph for that particular speaker online, Focal says 8ohms nominal, 3ohms minimum, which is a pretty low dip for something 8ohms nominal, but without looking at measurements it's hard to say how hard a load it will be to drive.

I have been researching stereo and multichannel amps in this price range recently. I used a Parasound HCA-2505a and was impressed with its performance, especially in the lower end. This you can find for $1k or less, so in your price range I would recommend Parasound's Halo A31 given the reviews of the Halo products. Another recommendation (and my recent purchase) is a Krell KAV-1500. What a beast across the entire frequency spectrum!!! Similarly, I think there are 3-channel Krell KAV-250a's also floating around in your price range. Just make sure you have the room for any of these gigantic, heavy amps and note that the Krells do run hotter than the Parasounds. Good luck and I hope my 2 cents help!

Here ya go!
https://avahifi.com/collections/power-amplifiers/products/synergy-240-3-home-theater-amplifier