Thanks for asking question on Adobe forums.
Yes, You can uninstall the software from the old machine and install it on the new one.
For more information please visit this link: Activate and deactivate Adobe products
Yes, you can install the Photoshop and Lightroom CC2015 on the new machine and deactivate from the temporary one by going to Help menu> sign out.
And with one subscription, you can use the programs on two machines so, you can install and activate them on any two machines.