1. What is the sensitivity, gain and output voltage of the MRX 510 pre ?
If I wish to connect it with an external power amp ? How do I verify, technically (not by audition) that the power amp will match ?
You can get the following from their website
MRX510 pre output
Maximum Output (<0.1% THD) 3.5 Vrms, subwoofer channel 6.1 Vrms
You will have to email them about the sensitivity and gain, my guess is, probably 1.2 to 2V. The MRX 510 should be suitable for use with most power amps in the 200 to 300 WPC range.
I do know that an AVR as a pre is not the best solution but want know how to match pre to power.
I am given to understand that the MRX 510 unlike other receivers does not set the pre into protection model when driven above the spec of the internal power amp which is 75w per channel 5 channels driven.
It seems to me you understand incorrectly. If the MRX is driven past 5X75W (practically unlikely) or even slightly below that, it should shutdown too, or they wouldn't get CSA approval that would be for good reasons.
Others like Denon and Marantz typically have higher output ratings even with 5 channel driven than Anthem's in the same price range. The issue is, they tend to specify only their 2 channel driven rating so to get their 5, and 7 channel limits you have to rely on 3rd thirty reviews/lab measurements such as those done by Sound and Visions, AVtech etc.
For better understanding of power output related topics I suggest you read up on the related articles on this site.
2. Will ARC (calibration and setup) work when using the MRX 510 as a pre and an external power amp for the power ?
I am sure ARC will work just the same.
3. Does the Anthem MRX 510 allow for an HDMI input once used in one of the input setup to be again mapped in a different input setup ?
That is , can I use Input Setup 1 to be HDMI 1 for audio and video
and Input Setup 2 to be again HDMI 1 for video but set audio to off or one of the optical/coax
If using HDMI 1 gets disabled from being selectable while defining input setup 2 then. I suppose the above can not be done.
I don't understand the question, for example, what do you mean by "input Setup1"?