My family lives in Bekasi .. not far from the hotel actually lol
The city is called Bekasi not Berkasi. And perhaps the reason why you can't find any info on the hotel online is because it's called Hotel Horison.
Hotel Horison is right next to a mall called Metropolitan Mall. In fact I believe they're connected. I don't think the hotel have high speed internet but if anything he can just walk a few steps next door and use the internet cafe inside the mall. And Metropolitan Mall is a pretty big mall .. but again the standard size of Indonesian malls is usually bigger than the ones you find here in the US
As for malaria .. your husband shouldn't worry about it unless he plan on taking a trip to the Borobudur temple area in Central Java.
Jakarta is between 45 mts to 1 1/2 hrs away from Bekasi, depending on traffic. And Bandung city is approx 2 hours away using the tollway that pass thru Bekasi.
If he have a long weekend, tell him to take a trip to Bali. Should be no more than $100 r/t using Garuda Indonesia or even less on the LCC's.
Your husband will have a good time in Indonesia .. don't worry about it. Just use common sense anywhere he go and he should be fine. You should go with him next time .. it's soo worth the long trip