1) Seeding Initial Wealth
This isn't really a problem. It's not very fair, but I don't think he argues that is actually a problem.
2) Built in Deflation
This is a big, big problem. It seems the creators of Bitcoin have a philosophical disagreement with conventional economic theories that state that increases in money supply (and some limited inflation) are outcomes of a healthy economy. Unconventional thinking is fine, but the outcomes he predicts here are real problems.
3) Lack of Convertibility
Yes, there is a problem here. It could actually be worse than the author suggests, because if state actors move against Bitcoin they could easily introduce high penalties for Bitcoin conversion. Even without that state actors, the dependability and predictability of convertibility is currently unacceptable.
At the same time, it's possible this could be overcome. It is basically a matter of trust, and modern fiat currencies all rely on trust. Usually that is trust in a government (or system of governments in the case of the euro), but it isn't inconceivable that "the internet" could be as trustworthy as a government. People trust billions of dollars or transactions to operating systems and databases that were built by "the internet", so it is possible this could be the same.
4) When Something Goes Wrong, It Will Die
This is the trust issue again.
However, there is one additional point - if someone wanted to deliberately attack the currency it would be fairly easy to buy a large number of Bitcoins, then deliberately destroy them. Once that occurs, they disappear from circulation, which causes instant deflation.