Screen Roller
To do a good job of screen repair you need a decent screen roller with ball bearing wheels. Usually companies that supply glass shops supply these although I have seen them for sale at Home Hardware and other hardware stores on occasion.
I have a roller like the one in the link below and what I like about it is that its very useful for narrow screen frames and very small spline sizes.The other size roller I use is much heavier and has a wide flange which helps shape aluminum screen cloth properly into the the screen frame while you are rolling. I will include a link to one of these as soon as I am able to find one. The screen roller pictured below is used for spline sizes .130 to .180. It is quite useful for working with narrow spline channels.  
The screen roller in the link below is one without a bearing but is a decent compromise if you are a do it yourselfer and want to fix your own screens.
You can get screen installation tools in most hardware stores. The most common is the kind that has a steel washer for a roller riveted into a plastic handle. These will work all right but are no good if you have a lot of screens to fix as they will quickly break. An old blunt chisel or flat blade screwdriver is also necessary to help guide the spline around the corners of the screen frame. Avoid the screen installation tools that look like plastic knives, they are just too awkward to use. You will just wind up with blistered hands from doing one patio door screen.

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