For the loading page time, it will be the new quality score. In this case, I think we need to find some reliable hosting , if it is down frequently or slow loading, it might cause the quality score. But I am not sure that it will effect on that adgroup or will reflect in account quality score.
Indeed you should make sure you have some reliable hosting. The quality score for the keywords will be poorer if your page loads slowly or does not appear, this will probably result in lower ranks and CTR which will effect your account history. So yes, it will effect both your keyword quality score and your overall account quality score.