Redirect to WordPress directory

Hello,
my problem is the following, respectivel I have two problems:
I installed wordpress on my server in the directory /wp/. Now in case I call my homepage I have to enter http://URL/wp/ to the browser; Can i redirect in the root directory this call? So that I only have to enter http://URL/ and I will be redirected to http://URL/wp automatically? I tried to do this with a .htaccess file, however it did not work as I get the Internal Server Error 500.

I also get this error when setting the permalinks – my solution was to add index.php in front of the permalink definitions. No it looks this way
/index.php/%year%/%monthnum%-%day%/%postname%/
Otherwise I get this error even the access restrctions are temporally set to a low level. It seems that I always get the Error 500 by the use of the htaccess file.

Maybe some of you knows an answer to one of these issues.

Thanks in advance!