multiple redirects with .htaccess

I want to do this

website.com/blog/index.php -> website.com/blog

website.com/admin/archief_login.php -> website.com/admin

this works with my code.
but I want to add this:

website.com/aa -> website.com/web/index.php?init=aa

for some reason the blog gets this redirect: website.com/blog/?init=blog

what is the best way to set these different rewrites?

RewriteEngine on Options All -Indexes
RewriteCond %{HTTP_HOST}
^websit.com$ [OR] RewriteCond
%{HTTP_HOST} ^www.website.com$
RewriteRule ^admin$
"http\:\/\/www.website.com\/admin/archief_login.php"
[R=301,L]

RewriteRule ^blog$
"http\:\/\/www.website.com\/blog/index.php"
[R=301,L]

DirectoryIndex client_login.php

RewriteRule
^screen-([a-zA-Z0-9_-]+).html$
index_client.php?screen=$1

RewriteRule
^invoice([a-zA-Z0-9_-]+).html$
make_invoice.php?id=$1

RewriteRule
^pack-([a-zA-Z0-9_-]+).html$
index_client.php?screen=pack_code&wwwcode=$1

Answer

You need to put the more "general" rules lower in the file so they don't match almost all of your URLs

RewriteRule ^(\w)$ /web/index.php?init=$1 [L, NC]
RewriteRule ^blog$ /blog/index.php [R=301,L]

The above will do

website.com/aa => website.com/web/index.php?init=aa
website.com/blog => website.com/web/index.php?init=blog

If you reverse the two rules you will get

website.com/aa => website.com/web/index.php?init=aa
website.com/blog => website.com/blog/index.php