We have 2 hours from when we dock (Värtahamnens färjeterminal) to our departure time at ARN airport (to Dublin). We have checked luggage and will be two adults two children (age 6 & 7). Any advice on how to get off the ferry and the quickest mode of transportation would be appreciated.
The flight departure is 2 hours after the scheduled docking time?
Google maps shows its a 30 minute drive ( I have found their estimates to be "optimistic", to put it nicely)
Ireland is NOT a Schengen country, so you have to deal with international flight protocols.
As I see it you need an earlier ferry or a later flight. I suspect if you do not make a change to your plans, you will be taking a later flight, regardless.
That is a tight connection, but it could work. Quickest mode of transportation depends on when you arrive. You could prebook a taxi, but rush hour traffic can make a taxi journey slow.
That is really tight. It is going to take about 40 minutes or so from that port.
I would book a taxi. Taxi Stockholm is a reliable company:
https://www.taxistockholm.se/en/helpdesk/our-services/arlanda/