Drake joins from New Zealand provincial side North Harbour.
The 24-year-old lock has been a member of the development and wider squad at Super Rugby side the Blues.
He is also the current captain of Northcote RFC who are the reigning North Harbour Club Championship winners.
He said: “I’m really excited to touch down on Welsh soil, fizzing to get stuck into the Scarlets culture, and give it my all for the club and its supporters”.
Scrum-half Blacker arrives from Cardiff Blues.
A product of the successful Coleg y Cymoedd, he came through the Academy system at Cardiff Arms Park and was capped at Wales Under-18 and Under-20 level.
The 20-year-old has played senior rugby for Pontypridd, made his Heineken Champions Cup debut as a replacement against Saracens last season, and has featured for Wales on the World Series Sevens circuit.
He has played Guinness PRO14 rugby for the Blues and during a brief loan spell with the Dragons.
Blacker will form part of an impressive pool of scrum-halves at Parc y Scarlets, battling it out with Gareth Davies, Kieran Hardy and Jonathan Evans for the No. 9 jersey.
He said: “I am delighted to sign my first professional contract with the Scarlets. It’s an honour to be a part of an exciting club and I am looking forward to the coming season.”
Tight-head prop Jeffries makes the short move to the Scarlets from rivals Ospreys.
The 24-year-old made his debut for Newport as a teenager and after impressing for the Black and Ambers in the Welsh Premiership joined the Ospreys in 2016.
He is another player who has been capped at Wales Under-18 and Under-20 level.
Jeffries made 18 appearances during his three seasons with the Ospreys, scoring two tries.
He said: “I am really looking forward to the next chapter in my rugby career at the Scarlets. I’m excited to work alongside a talented group players and coaches. I am also looking forward to developing my game and with the right opportunities showing what I am capable of.”
The signing of the trio comes on the back of a glut of re-signings by the Scarlets.
Full-back Johnny McNicholl and Wales stars Jonathan Davies, Rob Evans and Ken Owens have penned new deals, along with Werner Kruger, Dan Davis, Dan Jones, Paul Asquith, Tom Prydie, Steffan Hughes and rising talents Ioan Nicholas, Tom Phillips, Daf Hughes, Javan Sebastian, Rhys Fawcett, Shaun Evans and Steff Thomas.
The Scarlets have also signed second row Sam Lousi from Super Rugby side the Hurricanes.
Scarlets general manager of rugby Jon Daniels said: “Danny, Dane and Alex are talented young players who will be excellent additions to our squad.
“We have worked hard to ensure we have put together a group of players capable of competing for silverware and re-signing players of the calibre of Johnny, Jon, Ken, Rob and others have been crucial to that.
“We are happy with the strength of the squad we have put together, but are always open to adding further players if they are the quality and right fit that we are looking for to move the Scarlets forwards.
“We are looking forward to welcoming the boys back for pre-season next week.”
