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Maximum Level
At higher levels, leveling up happens much more slowly, however there is no discrete change upon reaching level 50. Level increases in Skyrim follow a formula (detailed above in the Gaining Levels section). The maximum level is level 81 and is reached by increasing all skills to 100. With every skill mastered, the level progress meter will rest a little over halfway to '82', meaning it is not necessary to master every skill to achieve Level 81.
One implication of the leveling system is that although it is possible to create a character with 100 in all skills, it is not possible for one character to unlock all skill perks, unless a console command is used (player.addperk). There are 251 total skill perks (including multi-point perks), but only 80 of them can be unlocked by any given character.
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No. You can only get up to Lv81, but there are more than 81 perk levels (some perks have more than one level).
There are 13 perks in total.
Legendary.
No. Perks are only ever granted on level up, and there is no shortcut to get the better perks apart from training the skills to the prerequisite level.
When you switch to a vampirelord, you can check what perks you have by pressing B, like you were trying to get to the menu. Normal vampires don't have levels or perks.
I would advise that you start off as a dragon. The dragon has the best perks.
You have to have one of the perks that allow you to do it. If you have the perk, draw your arrow, then hold the secondary weapon button.
Some do, some don't. Augment Flames will affect Flame Breath, for example, but Intense Flames does not.
Dawnguard is the expansion that adds the werewolf perk tree, without that, you can't get werewolf perks.
You have to buy specific perks on the One-Handed or Two-Handed skill trees, or the Sneak tree for backstab criticals.
81 because that is the highest level and you only get 1 perk point per level
If you mean the Werewolf and Vampire perks, these are not earned the same way as regular ones. As a Werewolf, progress towards new perks is earned by eating the hearts of slain victims. As a vampire, progress is earned by killing enemies with your claws or life drain power. So even if you started Dawnguard as Lv81 with all perk points spent, you can still max out both the Vampire and Werewolf perks. Dawnguard adds no other perks, so a Lv81 won't miss anything out in that regard either.
Daggers are governed by the One Handed skill, while though there are no dagger-specific perks, all the general ones will apply to anyone using a dagger. There is a dagger-specific skill on the Sneak skill tree, Assassin's Blade.