I think based on this post and the other one you made to the Beginner Basics forum that you may be operating under some false assumptions, not just when it comes to MikroTik but also general computer networking, and could benefit from doing some reading through the (e.g.) MikroTik wiki. Of course, if you would rather beat your head on a desk for several hours, some people find that they learn best through trial and error (I know I do for sure! and I have the bumps on my head to prove it). 
There are two kinds of initial config: a BLANK config and a DEFAULT config. A default config is what it sounds like: a set of reasonable basic settings that you can use as a starting point for making changes. A blank config means there is NO configuration on the router at all: NO IP addresses, NO DHCP servers, NO routing table entries, NO firewall or NAT rules, NOTHING.
When you first started up your router, you experienced a DEFAULT config: the ports were arranged in a typical LAN/WAN split with one port set as the WAN and the remaining on the LAN (with a common L2 broadcast domain), there was a default LAN IP of 192.168.88.1/24, a DHCP server running on the LAN, a DHCP client running on the WAN, a general NAT rule, and some firewall rules defined on the WAN.
RouterOS did not used to always ship with a default config. Out of the box, it had a blank config. And many/most? old-timers prefer to start from a blank slate. So when you log into a router for the first time, it gives you a run-down of the default config that has been applied, and gives you a chance to [R]emove it if you so desire. That is what happened when you pressed “R”: it didn’t “brick” itself; you removed the default config, which meant that you wiped out the default IP address along with everything else I described. The router had no IP address configured on it, period. And without an IP address configured on it, you clearly cannot telnet, SSH, or Webfig into it, because all of those services run over IP.
If you have a router with a blank config, the only way that you can get into it is through Winbox. Winbox has a special mode where you can specify the MAC address of a target router instead of an IP address. It talks to the router via a proprietary protocol, one which doesn’t require that the router have an IP address configured on it. When you load Winbox, it should show you all of the MikroTik routers it has discovered on the local broadcast domain, and you can click on a MAC address to pre-fill in the “Connect to:” field. Once you are in, you can configure the router as you wish.
The two reset “buttons” is also kind of a legacy thing, but if you read the short 2-page quick start pamphlet that was included in your box, that should clear up their uses. For reasons unknown to me, RouterBoards originally only allowed you to reset them via that internal screwdriver hole. The external button was merely used to toggle the backup bootloader, in the event that the primary one became corrupt, but it would not reset the router config itself. Eventually this changed, and now the external button has multiple functions depending on exactly when you start holding it in, how long you hold it in for, and when exactly you let go. Again, this is all described on the pamphlet. Nowadays everything can be accomplished via the main button, and for one of the functions (resetting the config), the internal screwdriver hole is essentially redundant.
The “weird beeping sound” you heard means that you managed to reset the bootloader settings in addition to the router config. By default, for the very first boot, the bootloader engages the Flashfig feature. And rather than extending this response out any longer, I will let you practice reading the manual in order to learn what this is: http://wiki.mikrotik.com/wiki/Manual:Flashfig
Hope this helps,
– Nathan