On your first point, both houses require a simple majority to pass legislation. However, the Senate requires a 3/5ths (not 2/3rds) vote to close down debate. On controversial matters, often this 3/5th vote must be approved before the bill can be voted on by a majority.
The 2nd and 3rd points are well taken, and although I could pick nits, aren’t too far off.
One of the major differences that most political scientists would point out is that Senators are less frequently up for reelection, therefore, in the words of Lyndon Johnson (IIRC), a six year senate term gives one two years to be a statesman, two years to be a senator, and two years to be a politician. In contrast, members of the House are continually up for reelection, and therefore are not as well insulated from the passions of the electorate.
Another point that political scientists would bring up is that the Senate is a smaller body, and each member therefore has a greater influence on the workings of the body. Under this system, members have to be somewhat more sensitive to alienating their colleagues, and party discipline isn’t as strong. That makes it more difficult for the leadership to push through party-line votes on controversial issues.
Finally, the rules of each house make a difference. The Senate gives much greater latitude to offer amendments on unrelated issues. That means that if the House passes a bill on increasing taxes, for example, it may be difficult to avoid a vote on a flag burning constitutional amendment, making it less politically palatable for the Senate leadership to bring up the bill in an absence of a bipartisan agreement on how to proceed with the bill.
It is worth noting that each of these last three items was specifically considered by the Founding Fathers in drafting the Constitution. Those different features of the bodies are there by design.
Finally, one must also consider that there are different personalities that lead each of the bodies. Just because two people are of the same political party doesn’t mean they see eye-to-eye on politics or strategy. And, since neither body can tell the other what to do, both Pelosi and Reid need to be on generally the same page in order for legislation to proceed.