You may want to open or forward port 8333 to get more connections to your node.  https://bitcoin.org/en/full-node#network-configuration

Only 8 connections are allowed outbound, you can see number of connections from bitcoin-cli getinfo.  To see who is connected can use bitcoin-cli getpeerinfo

See here for all the RPC commands https://bitcoin.org/en/developer-reference#bitcoin-core-apis You can get information about connected peers, see mining information, all you can handle bro