A pluging call 'round start item giver'. You can give anything such as medkit to players in round start by using this plugin. http://forums.alliedmods.net/showthread.php?p=1131184
Another plugin call 'Standardized Revamp Structure'. One of the functions of it is to remove anything in the map such as medkit or replace it with pills etc. You need to switch off some functions that you don't need. And please follow the installation of the plugin. http://forums.alliedmods.net/showthread.php?t=128581
After using these two plugins, you can reach what you want in your server.
There are some cvars for delaying from time when player enters the game.
You should check it. And I remember the plugin seems not to give anything to bots(I can sure).