Jacks are probably the most necessary of all tools for a glassblower. The blades are used to create "jack lines", which define where the glass will break free from the metal rod. Jack blades are also used for shaping the inside or outside of the glass vessel. The back of the jacks are called "straps", which can also be used for shaping and/or cooling the glass.
Beeswax is used as lubricant on jack blades and a select few other tools. The jacks are always oriented with the blades pointed back because the beeswax doesn't want to get on the other tools. Waxy tools make for unwanted slippage and will inhibit the performance of the other glassblowing tools.
Parchoffis are useful in shaping glass vessels with rounded, interior contours, such as bowls.
Tweezers are used to apply thermal shock to a neckline, often with the use of water. They are also used to pick bubbles out of glass, to pull the lip before trimming, or to create patterning. Tweezers can essentially be used in any scenario where you need to maneuver the glass, because you can't use your thumb and forefinger... for obvious reasons.
You can cut glass with shears, just like you would use scissors on paper. Shears can come in different sizes and profiles to fit specific needs. The most common use of shears is to trim the lip of a vessel.
Diamond shears are similar to straight shears in that they can be used to cut glass, but are also useful for grabbing and pulling glass for straightening, elongating, or cooling.
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