 Now, news of the Kenai in Alaska, brought to you by Elite Auto and Diesel Repair. When your vehicle is acting trivial, call 262-2280. Jobs across the state of Alaska took a slight jump in June, increasing by 1.5% with a rise of 5,200 in the statewide job count, although unemployment on the Kenai Peninsula did increase slightly over the year. Unemployment on the Kenai Peninsula took a slight downturn year over year, dipping by 0.7%.