Following are some of the major activities on this week's White House and Capitol Hill agendas. WHITE HOUSE

President Carter's calendar involves foreign nations stretching from the ancient holy lands to countries of the new world. Carter, for instance, will try to defuse hostilities in the Middle East; will talk to the shah of Iran; put the finishing touches on a Latin American trip by his Secretary of State, and study both the need and effects of imports of foreign products.

In between his international considerations, the President will continue his efforts to get an acceptable energy conservation program from Congress; discuss provisions in a new full employment bill; study a report by his urban and regional policy task force, and talk some more with his economic advisers on the tax program being readied for the first of the year.

The two-day visit of the shah of Iran, beginning Tuesday, highlights the schedule. The president will make a double request of his visitor: first that he impress upon the Organization of Petroleum Exporting Counties the importance to the world economy of holding the line on the price of oil; second to use his influence to bring about peace between Israel and the Arab nations. Carter is still hopeful that a new Middle East peace conference can begin in Geneva next month.

Secretary of State Cyrus R. Vance leaves Sunday for Argentina and it is expected the trip will be expanded to include other Latin American nations. These could include Venezuela and Brazil, two countries that Carter had planned to visit on his now-postponed world tour. Any visit by Vance to Venezeuela also could be tied to Cater's expressed hopes that the oil-producing nations will forgo a new price at their December meeting in Caracas.

Foreign imports will be taken up at the White House with an interesting twist.The President and his aides are perfecting a plan that would reduce the amount of foreign steel that is coming into the United States. At the same time, they are discussing a large increase in imports of liquefied natural gas. The LNG, primarily from Algeria, would be used to prevent factory closings and cold homes in times of natural gas shortages.

Also in the energy field will be further liaison between White House aides and congressional conferees trying for a compromise on the Carter energy program. Senate Majority Leader Robert C. Byrd (D-W. Va.), just returned from a trip to Panama, is expected to report to Carter early this week.

Other congressional leaders are expected at the White House during the week, for conferences on a new Humphrey-Hawkins full employment bill. The jobs proposals will be explained the Congressional Black Caucus. Views will also be solicited from business and labor groups.

President and Mrs. Carter will host a White House reception Thursday saluting the motion picture industry. Many of Hollywood's leading actors, directors and producers will be guests at the party marking the 10th anniversary of the American Filam Institute. On the following day, the First Lady will fly to Houston for a Saturday address to the International Women's Year meeting. CAPITOL HILL

Conferees' will attempt to work out details of a compromise energy bill. With only pro-forma sessions scheduled by both the House and Senate Tuesday and Friday, many members have gone home while others are off on what are described as "inspection trips" to sections of the United States and parts of the world. The senate will act on "non-controversial nominations and/or conference reports" if any are ready.

The energy conferees resume today with the same two-track schedule that prevailed last week. The conference committee that is considering non-tax provisions of the energy package will take up public utility rates at its meeting. The tax-writing group also will resume its conference.

In keeping with the relaxed pace, fewer than 10 committees of both the Senate and House have scheduled meetings during the week. The House Assassinations Committee will meet in closed session today, on the slaying of President John F. Kennedy. Also on the House side, a Banking subcommittee will question Arthur Burns on Thursday concerning the Federal Reserve Board's policies. On Wednesday, a House Judiciary subcommittee is to open two days of hearings on attorneys' fees legislation.

On the Senate side, disposition of Panama Canal Zone property is to be taken up by Judiciary subcommittee on Tuesday. Other Senate committees will meet on a batch of nominations, including the Consumer Product Safety Commission, the office of the U.S. rail public counsel and new judges in Kansas, Utah, Alabama, Louisiana and Colorado.

House-Senate conferees have scheduled a meeting Thursday in an effort to agree on a compromise legal services bill.