The stash tabs will be separate. Many people already have 10 tabs and are looking forward to the pack for further expansion..
As for the pricing, RoS was launched at $40 (https://us.battle.net/d3/en/blog/11867681/reaper-of-souls™-unleashed-on-march-25-2014-prepurchase-now-12-19-2013), so if the pack is considered half of an expansion, $20 would make sense. Whether it is worth the money, that would be a separate question.
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In my case, it was caused by two open browser tabs taking up way too much memory (~1.8G each). They were loading build guides on this site but it does not happen for every page, and I might have left them open for too long while playing the game. This could be caused by some ads, but anyway it is probably a good idea to check if anything is taking up an abnormal amount of system resources.
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My cdr was lacking even with obsidian , but it was okay since I ran Battle Rage-Ferocity instead of WoTB and Ground Stomp only takes a few seconds to reset. 1m sheet damage but with +39% fire and +26% whirlwind, so kill speed was still manageable. The more difficult part for me was the timing needed to navigate the trapped lanes, and to deal with larger monsters/elites. Sometimes they are near a rend group so it becomes necessary to either avoid their melee range or stun them as part of the group, or simply take them out first even if means losing the rend group. I also found it necessary to clear the first open area and first two lanes thoroughly, so there is no need to backtrack beyond the last two lanes for stragglers.
Basically, this dungeon is not terribly time strict but has a higher requirement for precise controls (similar to Earth set).