‘AnsPress_Actions’ not found

Look like files not properly synced with github. Anspress_Actions renamed to Anspress_Hooks.

Ajax problem

I seen that already, we will check and let you know. DO NOT POST DUPLICATE POSTS, even though if no one replied. I read every new question posted in our site, so I seen your previous posts too and of course will check if that is a bug. Posting one thing again and again will bother us and will delay the development process.

Links on user menu all direct to current user

This issue has been fixed and commit has been made to GitHub. Also releasing a new version in WP repository.

Where can I change the URL Profile Images and Username links point to?

Here is the filter for overriding AnsPress use link, add this in your theme functions.php https://gist.github.com/rahularyan/fd945142f53557c9d9bf

AskBug plus Membership Plugin?

You mean: Does ANSPRESSS work well with any particular Membership product? I have improved AnsPress user roles yesterday (in github repo) and it will work with any membership plugin. Now AnsPress will grand access based on capabilities. So you can easily mange user and roles permission.

How to either remove user avatar from displaying or make them really small?

This may be due to your theme. You can hide avatar using this css https://gist.github.com/rahularyan/5a3ae606620ebba805f4

How can I combine buddypress notifications and anspress notifications

Combine with whom? AnsPress notification to BP or BP to AnsPress ? If you want AnsPress notification in BP then its done by default, but BP notification cannot be shown in AnsPress.

All content inside a particular page

There is ask form widget you can use it, if you wish to show ask form in other places. There is status button below post (only admin) AnsPress have only one shortcode [anspress], for more information about shortcode read docs.