Problem with a power supply for a HP - pavillion a1419h?

Good job finding that P/S. The SATA X2 just means there is two of them. The only issue I see that might be an issue is the 24pin ATX motherboard connector. Some boards use 20, some 24. Since this is listed as a replacement for your model it's probably OK. If your case is open count the pins on the main P/S to M/B connector. If it's 24, your good to go; if it's 20, get the 24 to 20 pin adapter. Some 24's even break apart at the last 4, but this says nothing about it.