You can change the country server from the VPN client on your router.
Here is a list of all the servers for all countries that PIA supports.
https://www.privateinternetaccess.com/pages/network/
basically if you want to connect to the UK server just change the server name in "Server Address and Port" on the VPN client to uk-london.privateinternetaccess.com
then turn the Service state button to off and then on and the new country will take effect.
You do not need to put the client on your iPad if you are using the router for VPN.
But if you want a different VPN server on your iPad other then the one that your router is currently on then you would need that app on your iPad and you can only use one country server at a time.
The app is pretty straight forward. choose the country, put your username and password and its done.
Personally what I would do is this.
reserve a few more static IP address's for the policy rules that will go through the VPN and when you want to use VPN for your tablet just change the IP address to the one you reserved for VPN and when your done go back to DHCP on your tablet.
Also make sure you have proper DNS filtering for the devices that do not use the VPN via DNS filtering because if you don't as in my article all your ISP traffic will use the DNS of PIA.
On the tablet if you switch back and forth from VPN and ISP don't put a DNS filtering, manually change them every time.
example for iPad that will use VPN and ISP from the router. DNSfiletering will not be used in this case instead you would manually change the following.
IP DHCP
DNS 8.8.8.8 for google
for VPN
IP 192.168.1.50
subnet 255.255.255.0
gateway 192.168.1.1 this is your routers IP
DNS 192.168.1.1 this is your routers IP
Using the PIA software is not recommended because if you use DNSfiltering and point for example google for DNS to your iPad when you use the software to connect to PIA it will use the DNS of ISP being google which is not good.
you need the DNS of PIA when using the VPN and the DNS of ISP when on ISP so the only work around is the example above.
In order to test all your devices and to make sure all DNS works right use the following url
https://ipleak.net/
Its a pain in the butt with the way it all works but at least you know how it all works now
I hope this makes some sense.