Not sure that I completely understand the stated changes that you are making.
In any case you must be sure that, at no time, no two devices on your network have the same IP address.
My understanding thus far:
The router is 192.168.1.1 - commonly used router IP address and should not be changed barring specific known reasons for doing so.
The main pc is 192.168.1.2 - is that a DHCP IP address or a Static IP address? I would expect DHCP.
The laptop (server) is now 192.168.1.3.. Which should be a Static IP address (does not change) that you established and have ensured that no other device will be using that IP address.
Unless you have reserved 192.168.1.3 for only the laptop server the router may use 192.168.1.3 for another device if the laptop server is turned off.
All devices not using a Static IP address should be requesting a DHCP IP address from the router at 192.168.1.1. Subnet mask for all network devices being 255.255.255.0