Senator Second to Qualify: Sen. Alan Cranston of California yesterday became the second Democrat to announce that he has qualified to receive matching federal funds for his 1984 campaign for the presidency.

Cranston, who is to announce his candidacy formally on Feb. 2, raised more than $120,000 in 23 states and the District of Columbia in the first 10 days of the year, which makes him eligible to receive the matching funds beginning Jan. 1, 1984, his advisers said in a news conference.

Former vice president Walter F. Mondale qualified for matching funds just 48 hours after the official fund-raising period began on Jan. 1. To qualify, a presidential candidate must raise at least $5,000 in contributions of $250 or less in each of 20 states by the end of 1983.

Other likely Democatic presidential candidates include Sens. John Glenn of Ohio, Gary Hart of Colorado and Ernest F. Hollings of South Carolina, and former governor Reubin Askew of Florida.

Rizzo Is Back: Former mayor Frank Rizzo, who for some came to symbolize law and order and racial polarity, announced his candidacy for mayor of Philadelphia yesterday with a promise to represent "all of its people."

"I say all of its people and I mean just that--the young, the old, rich, poor, black, white, the Hispanic, Asian, male and female, no matter where they live, work or try to pursue happiness," he told a jammed news conference.

Rizzo, 62, has been out of office the past three years after voters refused to change the city charter to allow him to run for an unprecedented third consecutive four-year term in 1979. The former mayor and police commissioner will run in the Democratic primary against W. Wilson Goode, a black who recently resigned as city managing director under Mayor William Green, who decided against seeking reelection.

Rizzo, responding to criticism that his political comeback could divide the city, said he would begin his campaign "on a positive note."

"The luxury of hindsight, of course, points up some things I might have done differently and some things I might not have done at all," Rizzo said of his eight years in office.

Faulk in Race: Humorist John Henry Faulk announced yesterday in Madisonville, Tex., that he will challenge Republican Phil Gramm's bid for election to Congress so voters will have a chance to tell Washington that Reaganomics is not working.

Faulk, blacklisted as pro-Communist in the 1950s by a McCarthy-era group, also called Gramm a "McCarthy-type fellow" who probably will make Faulk's past a campaign issue. Gramm, a former Democratic representative, resigned his seat after being taken off the Budget Committee because of his support of President Reagan's economic program so he could run as a Republican.

Five other Democrats filed with Faulk yesterday. In all, nine Democrats, one Republican and a Libertarian are seeking to represent the 6th District, which stretches about 250 miles from Dallas to Houston.

"There's only one Republican in this race because everyone else has enough sense to know voting Republican in the middle of a recession is like wearing a 'hit me' sign to a boxing match," said Faulk, 69.From news services and staff reports