in short, a speed nuke team aims to go faster than the opponent and wipe them out in a single attack. the basic pieces are a speed aura, a tm booster (or sometimes two) , an increase attack buff, an aoe decrease defense debuff, and finally a champion with a strong aoe attack. the best example i could make from your champions would probably be arbiter (aura, atk buff, tm boost), dracomorph (aoe defense down and weaken), and your pick of foli, candrophon, zavia, nethril, hurndig or really any of your strong attack types. since you hit all of the major pieces in just three champs, you have a few choices regarding your fourth. some people like a second tm booster to go after arbiter and ensure that they go first, others like someone with crowd control just in case they don't manage to take the entire team in one shot.
a blender comp uses several champs with aoe attacks on their a1 paired with an ally attack champ. you have both skullcrown and sinesha, who are the most commonly used champions in that type of team. pair them with fahrakin or kreela and someone who can put an increase attack buff on your team (and ideally boost the turn meter as well).
a defensive team doesn't have quite the same cookie-cutter build as the other two, but they tend to involve a lot of champions with very high resistance, defense, and hp. common features include shield buffs, a lot of healing and at least one reviver, oftentimes more. on defense, they can potentially be set up to just never be beaten, forcing the opponent to concede the match, though that's never a guaranteed strategy. offensively, they'll typically have one champion to take out the other team (either a revive blocker or just a really hard hitter depending on the opponent) and three champions who are there solely to keep the fourth champion alive and well as it obliterates the other team.
i should also clarify; most of the advice in this and my previous post is geared toward setting up your tag arena defense. on offense, the same types of team compositions are going to be useful, but the most important thing there is adapting your teams to your opponent. if they have a valkyrie, run a buff stripper. three revivers? inthwe or foli. rhazin or urost as their lead? maybe figure out a setup that doesn't rely on landing debuffs. all force team? use nethril and stag knight in a speed nuke team instead of candrophon and dracomorph.